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Buffer Solutions

What volume o...

Question

What volume of $0.10$ M sodium formate solution should be added to $50$ ml of $0.05$ M formic acid to produce a buffer solution of $p H$ $4.0$ ?
[p $K_{a}$ for formic acid is $3.80$ ]

3.96

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25

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39.6

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100

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Solution

The correct option is C $39.6$ ml
Let $V$ mL of $0.10 M$ sodium formate solution should be added to $50 m l$ of $0.05 M$ formic acid to produce a buffer solution of $p H$ $4.0.$

$p H = p K a + l o g \frac{[H C O O N a]}{[H C O O H]}$

$4.0 = 3.80 + l o g \frac{V \times 0.10}{50 \times 0.05}$

$0.2 = l o g 0.04 V$

$0.04 V = 1.585$

$V = 39.6$ mL.

Hence, the correct option is $C$

Option C is correct.

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Similar questions

What volume of 1.10 M sodium formate solution should be to 50 mL of 0.05 M formic acid to produce a buffer solution of pH 4.0? (pK_a for formic acid is 3.80).

Q. What volume of

0.1 M

sodium formate solution should be added to 50 mL of

0.05 M

formic acid to produce a buffer solution of

p H = 4.0

;

p K_{a}

of formic acid

= 3.80

Q. To a

50

mL of

0.05

M formic acid how much volume of

0.10

M sodium formate must be added to get a buffer solution of pH

= 4.0

? (p

K_{a}

of the acid is

3.7

)

Q. What volume of

0.1 M H C O O N a

solution should be added to

50 mL

0.05 M

formic acid to produce a buffer solution of

p H = 4.0

p K_{a}

of formic acid

= 3.7

What volume of 1.10 M sodium formate solution should be to 50 mL of 0.05 M formic acid to produce a buffer solution of pH 4.0? (pK_a for formic acid is 3.80).

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What volume of 0.10M sodium formate solution should be added to 50ml of 0.05M formic acid to produce a buffer solution of pH 4.0? [pKa for formic acid is 3.80]

The correct option is C 39.6mlLet V mL of 0.10M sodium formate solution should be added to 50ml of 0.05M formic acid to produce a buffer solution of pH 4.0.pH=pKa+log[HCOONa][HCOOH]4.0=3.80+logV×0.1050×0.050.2=log0.04V0.04V=1.585 V=39.6 mL.Hence, the correct option is COption C is correct.

What volume of $0.10$ M sodium formate solution should be added to $50$ ml of $0.05$ M formic acid to produce a buffer solution of $p H$ $4.0$ ?
[p $K_{a}$ for formic acid is $3.80$ ]